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Finding the Fourth Proportional to 29,309.52, 43,970.43 and 9,586.53

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Solution

The fourth proportional to 29,309.52, 43,970.43 and 9,586.53 is: 14,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.52 : 43,970.43 = 9,586.53 : x
  2. Step 2: Convert to fraction form
    29,309.52/43,970.43 = 9,586.53/x
  3. Step 3: Cross multiply
    29,309.52x = 43,970.43 × 9,586.53
  4. Step 4: Simplify right side
    29,309.52x = 421,523,975.25
  5. Step 5: Solve for x
    x = 421,523,975.25/29,309.52
  6. Step 6: Final answer
    x = 14,381.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.